Journal of Low Frequency Noise, Vibration and Active Control (Dec 2019)

An effective modification of Ji-Huan He’s variational approach to nonlinear singular oscillator

  • Zhao-Ling Tao,
  • Guo-Hua Chen

DOI
https://doi.org/10.1177/1461348418816265
Journal volume & issue
Vol. 38

Abstract

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In the review article “Asymptotic methods for solitary solutions and compactons” (Ji-Huan He, Abstract and Applied Analysis 2012: 916793), the variational approach and the Hamiltonian approach to nonlinear oscillators are systematically discussed. This paper gives an extension of the methods to singular nonlinear oscillator by the iteration perturbation method.